On the GFF with one free boundary condition
Han, Yong1; Wang, Yuefei1,2; Wang, Zipeng3
AbstractIn this note, we shall obtain an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition. Our proof of the main result relies on both the martingale methods, and finding out the explicit form of the solution of the partial differential equation derived from the Ito's calculus with extra efforts.(c) 2022 Elsevier B.V. All rights reserved.
KeywordSLE? Level line of GFF Mixed boundary conditions
Indexed BySCI
Funding ProjectNSF of China ; NSF of Chongqing ; [12131016] ; [12201419] ; [CSTB2022BSXM- JCX0088] ; [CSTB2022NSCQ-MSX0321]
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000875779100001
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Document Type期刊论文
Corresponding AuthorHan, Yong
Affiliation1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Recommended Citation
GB/T 7714
Han, Yong,Wang, Yuefei,Wang, Zipeng. On the GFF with one free boundary condition[J]. STATISTICS & PROBABILITY LETTERS,2023,193:8.
APA Han, Yong,Wang, Yuefei,&Wang, Zipeng.(2023).On the GFF with one free boundary condition.STATISTICS & PROBABILITY LETTERS,193,8.
MLA Han, Yong,et al."On the GFF with one free boundary condition".STATISTICS & PROBABILITY LETTERS 193(2023):8.
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